The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 0 1 1 0 1 1 X X 1 1 1 1 X^2+X 1 1 1 X 1 1 1 1 1 1 0 1 X^2+X 1 1 0 X^2+X 1 1 X X^2+X X X^2 1 X^2+X 1 1 1 X^2+X 1 1 X^2 1 1 0 1 0 1 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 1 X X^2+X+1 1 X^2 1 1 1 X X^2+X+1 X^2+1 X 1 X+1 X^2+X+1 0 1 X^2 1 X^2+X X^2+1 X^2+1 X^2+1 1 X^2+X 1 X^2 0 1 1 X^2+X X^2+1 1 1 0 1 X^2+X+1 1 X^2+X 1 X^2+X 1 X^2+1 X^2+X X^2 X^2+1 1 1 X+1 1 X^2+1 0 0 0 X 0 X^2+X 0 X^2+X X^2 X X X^2+X 0 X 0 X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2+X 0 X^2 X^2+X X^2 X 0 X^2 X 0 X^2+X X X 0 X 0 X^2+X 0 X^2 X^2 X 0 0 X 0 X^2 X X X^2+X X^2+X 0 X^2+X X 0 X^2 X^2+X X^2 X^2+X X X^2+X X 0 0 X X^2+X 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 generates a code of length 66 over Z2[X]/(X^3) who�s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+36x^58+82x^59+157x^60+248x^61+317x^62+332x^63+387x^64+382x^65+361x^66+410x^67+332x^68+308x^69+226x^70+168x^71+129x^72+68x^73+64x^74+26x^75+13x^76+12x^77+15x^78+4x^79+2x^80+6x^81+3x^82+2x^83+2x^84+2x^86+1x^88 The gray image is a linear code over GF(2) with n=264, k=12 and d=116. This code was found by Heurico 1.16 in 1.02 seconds.